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6808230180 = 22325971492617
BaseRepresentation
bin1100101011100110…
…10101100100100100
3122120110212221001100
412111303111210210
5102420401331210
63043324000100
7330500000403
oct62563254444
918513787040
106808230180
112984083114
1213a0090030
13846670a8b
144882bb63a
1529ca885c0
hex195cd5924

6808230180 has 144 divisors (see below), whose sum is σ = 21012591600. Its totient is φ = 1784070144.

The previous prime is 6808230179. The next prime is 6808230181. The reversal of 6808230180 is 810328086.

It is an interprime number because it is at equal distance from previous prime (6808230179) and next prime (6808230181).

It can be written as a sum of positive squares in 8 ways, for example, as 36 + 6808230144 = 6^2 + 82512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6808230181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2600232 + ... + 2602848.

It is an arithmetic number, because the mean of its divisors is an integer number (145920775).

Almost surely, 26808230180 is an apocalyptic number.

6808230180 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6808230180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506295800).

6808230180 is an abundant number, since it is smaller than the sum of its proper divisors (14204361420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6808230180 is a wasteful number, since it uses less digits than its factorization.

6808230180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6808230180 is about 82512.0002181501. Note that the first 3 decimals coincide. The cubic root of 6808230180 is about 1895.3004983834.

Subtracting from 6808230180 its sum of digits (36), we obtain a square (6808230144 = 825122).

The spelling of 6808230180 in words is "six billion, eight hundred eight million, two hundred thirty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 149 180 194 291 298 388 447 485 582 596 745 873 894 970 1164 1341 1455 1490 1746 1788 1940 2235 2617 2682 2910 2980 3492 4365 4470 5234 5364 5820 6705 7851 8730 8940 10468 13085 13410 14453 15702 17460 23553 26170 26820 28906 31404 39255 43359 47106 52340 57812 72265 78510 86718 94212 117765 130077 144530 157020 173436 216795 235530 253849 260154 289060 389933 433590 471060 507698 520308 650385 761547 779866 867180 1015396 1169799 1269245 1300770 1523094 1559732 1949665 2284641 2339598 2538490 2601540 3046188 3509397 3807735 3899330 4569282 4679196 5076980 5848995 7018794 7615470 7798660 9138564 11423205 11697990 14037588 15230940 17546985 22846410 23395980 35093970 37823501 45692820 70187940 75647002 113470503 151294004 189117505 226941006 340411509 378235010 453882012 567352515 680823018 756470020 1134705030 1361646036 1702057545 2269410060 3404115090 6808230180